A variable is a letter that is used to represent an unknown quantity. A term is a single number, variable, or the product of a number and one or many variables. Lastly, an algebraic expression is a single term, or a number of terms separated by “+” and/or “-“ symbols.
Test Objectives:•Demonstrate the ability to evaluate an algebraic expression for given values
•Demonstrate the ability to determine if two or more terms represent “like terms”
•Demonstrate the ability to simplify an algebraic expression by combining like terms
Variables & Expressions Test:
#1:
Instructions: Evaluate each algebraic expression for the given value(s) of the variable(s).
a) -7x-3 for x = 2
b) -7x-3 for x = -2
c) -7x-3 for x = 5
d) 10x^{2} + 7x - 1 for x = 2
e) 10x^{2} + 7x - 1 for x = -2
f) 10x^{2} + 7x - 1 for x = 5
#2:
Instructions: Evaluate each algebraic expression for the given value(s) of the variable(s).
a) -9x^{3} - 6y for x = 1, y = 3
b) -9x^{3} - 6y for x = 2, y = -5
c) 2z^{2} - 5x - y for x = 3, z = 2, y = 7
d) 2z^{2} - 5x - y for x = -1, z = 5, y = -4
#3:
Instructions: Determine if each are like terms.
a) 4x, -13x
b) 12yz, 7xz
c) 9ab, -4ba
d) -3y^{2}x, 15xy^{2}
e) 10z^{2}x^{4}a^{3}, -5a^{2}x^{4}z^{3}
#4:
Instructions: Simplify.
a) 3(t - 4) + 7(x + 4)
b) 6(z - 6) + 3(z - 7) + 5
#5:
Instructions: Simplify.
a) 3(2y - 9) + 7(z^{2} - y)
b) -2(-3x + 4) - (5x - 7) - 10
Written Solutions:
Solution:
a) -17
b) 11
c) -38
d) 53
e) 25
f) 284
Solution:
a) -27
b) -42
c) -14
d) 59
Solution:
a) like terms
b) not like terms
c) like terms
d) like terms
e) not like terms
Solution:
a) 3t + 7x + 16
b) 9z - 52
Solution:
a) 7z^{2} - y - 27
b) x - 11